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Finding the Fourth Proportional to 427,689.37, 640,255.87 and 258,698.29

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Solution

The fourth proportional to 427,689.37, 640,255.87 and 258,698.29 is: 387,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,689.37 : 640,255.87 = 258,698.29 : x
  2. Step 2: Convert to fraction form
    427,689.37/640,255.87 = 258,698.29/x
  3. Step 3: Cross multiply
    427,689.37x = 640,255.87 × 258,698.29
  4. Step 4: Simplify right side
    427,689.37x = 165,633,098,731.46
  5. Step 5: Solve for x
    x = 165,633,098,731.46/427,689.37
  6. Step 6: Final answer
    x = 387,274.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.